Add Math : Composite Function

Answer all of the following.

1. Given that f : x --> x-7 and g : x --> (2/x) -1, x is not equal to 0.

(a) Find the image of f when the object is 2.

(b) Find the object of f when the image is -4.

(c) Find the image of g when the object is 7.

(d) Find the object of g when the image is 5.

(e) Find fg(2) and gf(-5)


2. Given that f(x)=x+5 and g(x)=3x-1

(a) fg(3)

(b) gf(3)


3. Given that f(x) = 2+(1/x), x is not equal to 0 and g(x)=x-3. Find

(a) gf(-1)

(b) fg(2)

4. Given that f(x)=x-3 and g(x)= 1/(2-x), x is not equal to 2. Find

(a) fg

(b) gf

5. Given that fg(x)=5x+1 and f(x)=x/3. Find g.

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